Greatest Common Factor of 177/510, 995/338, 656/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 177/510, 995/338, 656/695

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 177/510,995/338,656/695

Given fractions are 177/510,995/338,656/695

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 177,995,656

Greatest Common Factor of Numerators i.e. GCF of 177,995,656 is 1 .

LCM of Denominators means LCM of 510,338,695 as per the given fractions.

LCM of 510,338,695 is 11980410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 177,995,656

GCF of Fractions 177/510,995/338,656/695 is 1/11980410

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 177,995,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,995,656 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 177,995,656 . The biggest common factor number is the GCF number.
So the greatest common factor 177,995,656 is 1.

Lets's calculate LCM of 510,338,695

2 510, 338, 695
5 255, 169, 695
51, 169, 139

∴ So the LCM of the given numbers is 2 x 5 x 51 x 169 x 139 = 11980410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11980410

Therefore, the GCF of Fractions 177/510,995/338,656/695 is 1/11980410

Least Common Multiple of 510,338,695 with GCF Formula

Least Common Multiple of 510,338,695 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 510,338,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,338,695) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(510,338,695) x common factors =1 x 10 = 10

LCM(510,338,695) = ( 510 × 338 × 695 ) / 10

LCM(510,338,695) = 119804100 / 10

LCM(510,338,695) = 11980410


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 177/510, 995/338, 656/695

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 177/510, 995/338, 656/695?

Answer: GCF of Numerators as per given numbers 177/510, 995/338, 656/695 is

GCF of Numerators i.e. for 177,995,656 is 1

LCM of denominators i.e. for 510,338,695 is 11980410.

Thus, GCF of Fractions is 1/11980410.Finally, GCF of Fractions for 177/510, 995/338, 656/695 is 1/11980410.